1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kati45 [8]
3 years ago
14

ryan's restaurant charges $9.50 for a plain cheese pizza and $1.75 for each additional topping. If a cheese pizza with toppings

costs $14.75, how many toppings are in it?
Mathematics
1 answer:
Olenka [21]3 years ago
6 0

Answer:

3 toppings

Step-by-step explanation:

14.75(total)-9.50(pizza)

=5.25 / 1.75(each topping)

3 toppings

You might be interested in
In a class of 25 students, 15 are female and 16 have an A in the class. There are 12 students who are female and have an A in th
Mamont248 [21]

Answer:12/16

Step-by-step explanation:

5 0
3 years ago
The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 104 inches, and a standard
dsp73

Answer:

91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 104, \sigma = 14, n = 49, s = \frac{14}{\sqrt{49}} = 2

What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

This is the pvalue of Z when X = 106.8. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{106.8 - 104}{2}

Z = 1.4

Z = 1.4 has a pvalue of 0.9192

0.9192 = 91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

8 0
3 years ago
For the following amount at the given interest rate compounded​ continuously, find​ (a) the future value after 9 ​years, (b) the
Stella [2.4K]

Answer:

(a) The future value after 9 ​years is $7142.49.

(b) The effective rate is r_E=4.759 \:{\%}.

(c) The time to reach ​$13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of P dollars is invested at a rate of interest r compounded continuously for t years, the compound amount is

A=Pe^{rt}

(a) From the information given

P=4700

r=4.65\%=\frac{4.65}{100} =0.0465

t=9 \:years

Applying the above formula we get that

A=4700e^{0.0465\cdot 9}\\A=7142.49

The future value after 9 ​years is $7142.49.

(b) The effective rate is given by

r_E=e^r-1

Therefore,

r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}

(c) To find the time to reach ​$13,000, we must solve the equation

13000=4700e^{0.0465\cdot t}

4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88

3 0
3 years ago
What is the common difference in the following arithmetic sequence?<br> 2.8, 4.4, 6, 7.6
Volgvan

Answer:

1.6

Step-by-step explanation:

4.4 - 2.8 = 1.6

6 - 4.4 = 1.6

7.6 - 6 = 1.6

8 0
3 years ago
Multiply.
wolverine [178]
So you're initial equation is (2/6)*24=m. Well since 2/6=1/3, plug in 24 for the 1 in 1/3. So 24/3=m, and 24/3=8 so m=8.
7 0
3 years ago
Other questions:
  • The function f(x) = 2.54 can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the
    11·1 answer
  • Do you think stores would sell more products if they used fractions to represent the price or decimals? Explain why or why not.
    11·1 answer
  • Hellllllllllppppppppppp
    6·2 answers
  • Who can help with my geometry b final exam
    15·2 answers
  • Refer to the graph What conclusion can you make about the relationship between the number of items sold i and the
    6·1 answer
  • For questions 9 and 11, solve for the remaining angles.
    14·1 answer
  • Use the expression below to answer the following question:
    6·2 answers
  • At a show, there are 19 adults, 45 teenagers, and 36 children.
    15·2 answers
  • =
    6·2 answers
  • Can someone explain?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!